In this paper, the stability for a class fractional-order inertial neural networks with time-delay are investigated. Moreover, some sufficient conditions for the Mittag-Leffler stability and the asymptotical $\omega$-periodicity are obtained, by the appropriate transformation, using the property of the Riemann-Liouville fractional integral and derivative. In the end, results of the theoretical derivation are verified by virtue of two numerical simulation examples.

中文翻译：

---

具有时滞的分数阶惯性神经网络的 Mittag-Leffler 稳定性和渐近 ω -周期性

本文研究了一类具有时滞的分数阶惯性神经网络的稳定性。此外，Mittag-Leffler 稳定性和渐近方程的一些充分条件$\omega$使用黎曼-刘维尔分数积分和导数的性质，通过适当的变换获得 - 周期性。最后通过两个数值模拟算例验证了理论推导的结果。